The mean-value of the Riemann zeta function
From MaRDI portal
Publication:2648353
DOI10.1007/BF02395027zbMath0036.18603MaRDI QIDQ2648353
Publication date: 1949
Published in: Acta Mathematica (Search for Journal in Brave)
Related Items
On some mean values for the divisor function and the Riemann zeta-function, Asymptotic expansions of the mean values of Dirichlet \(L\)-functions. III, A note on the mean value of the zeta and L-functions. IV, V, A note on the mean value of the zeta and L-functions. VIII, Atkinson's formula for Hardy's function, An explicit formula for the square of the Riemann zeta-function in the critical strip, The Atkinson formula near the critical line. II, The Atkinson formula for \(L\)-functions near the critical line, On complex zeros off the critical line for non-monomial polynomial of zeta-functions, Explicit \(L^2\) bounds for the Riemann \(\zeta\) function, Zeros of \(L(s,\chi)\) in short segments on the critical line, Asymptotic expansions of double zeta-functions of Barnes, of Shintani, and Eisenstein series, The Mean Values of the Riemann Zeta-Function on the Critical Line, On the mean square of the Riemann zeta-function, Unnamed Item, On the error term in the mean square formula for the Riemann zeta-function in the critical strip, An approximate functional equation for the primitive of Hardy's function, On the mean-square of the Riemann zeta-function on the critical line, Moments of the Riemann zeta function and Eisenstein series. I, The mean values of Dirichlet L-functions at integer points and class numbers of cyclotomic fields, On the moments of the Riemann zeta-function near the critical line, Unnamed Item, On the Atkinson formula for the \(\zeta\) function, A symbolic approach to multiple Hurwitz zeta values at non-positive integers, The binary additive divisor problem, On some mean value results for the zeta-function and a divisor problem. II., Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function, Beiträge zur Theorie der Dirichletreihen, die Spitzenformen zugeordnet sind, Functional equation of Mordell–Tornheim multiple zeta function, Real zeros of Hurwitz–Lerch zeta and Hurwitz–Lerch type of Euler–Zagier double zeta functions, Mean square values of Dirichlet \(L\)-functions associated to fixed order characters, An explicit formula of Atkinson type for the product of the Riemann zeta-function and a Dirichlet polynomial, A note on the mean value of the zeta and L-functions. VI, A new expression for the product of the two Dirichlet series. I, Large values of the error term in the divisor problem, Higher moments of the error term in the divisor problem, Integrals of products of Hurwitz zeta functions and the Casimir effect in ϕ^4 field theories, Multiple zeta values at the non-positive integers, Asymptotic expansions of the mean values of Dirichlet \(L\)-functions, Riemann's zeta-function and the divisor problem. III, Mean square of double zeta-function, Mean square formula for the double zeta-function, Multiple Lucas-Dirichlet series associated with additive and Dirichlet characters, Sums of the error term function in the mean square for \(\zeta (s)\), Unnamed Item, Linearized product of two Riemann zeta functions, Omega result for the mean square of the Riemann zeta function, On the Riemann zeta-function and the divisor problem, On the singularities of multiple \(L\)-functions, Bounds for triple zeta-functions, On the Riemann zeta-function and the divisor problem. II, Analytic properties of double zeta-functions, The mean square of Dirichlet L-functions. (A generalization of Balasubramanian's method), Some mean value results related to Hardy's function, Analytic continuation of the multiple Fibonacci zeta functions, Structural elucidation of the mean square of the Hurwitz zeta-function, The mean value theorem for the Riemann zeta‐function, Large Values of the Zeta-Function on the Critical Line, On the mean square formula of the error term in the Dirichlet divisor problem, Integral moments of automorphic L-functions, Unnamed Item, Power means of the Hurwitz zeta function over large intervals, On Hurwitz multizeta functions, On the mean square of the periodic zeta-function. II, Mean square of the derivatives of Hardy's \(Z\)-function, Bounds of double zeta-functions and their applications, Differential algebraic Birkhoff decomposition and the renormalization of multiple zeta values, Limit theorems for the Laplace transform of the Riemann zeta-function, An application of the Mellin-Barnes type of integral to the mean square of \(L\)-functions, A spectral decomposition of the product of four zeta-values, On the divisor function and the Riemann zeta-function in short intervals, Riemann's zeta-function and the divisor problem, Transformation formulae for Dirichlet polynomials, Hybrid moments of the Riemann zeta-function, Unnamed Item, Mean value theorems for the double zeta-function, The mean square of the Dirichlet \(L\)-functions in the critical strip, On certain mean values of the double zeta-function, An explicit formula for the fourth power mean of the Riemann zeta- function, A note on the mean value of the zeta and L-functions. I, Riemann's zeta-function and the divisor problem. II, Explicit formulas and asymptotic expansions for certain mean square of Hurwitz zeta-functions, A note on the mean value of the zeta and L-functions. II, Atkinson's formula for the mean square of \(\zeta (s)\) with an explicit error term
Cites Work
